Hans J. Stetter is Professor Emeritus of Numerical Mathematics at the Vienna University of Technology, Austria. He is the author of more than 90 publications and has been editor or associate editor of Computing, Numerische Mathematik, Transactions on Numerical Software, Mathematics of Computation, and various other journals. He is a member of the German Academy of Natural Scientists Leopoldina.
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Description
Preface; Part I. Polynomials and Numerical Analysis: 1. Polynomials; 2. Representations of polynomial ideals; 3. Polynomials with coefficients of limited accuracy; 4. Approximate numerical computation; Part II. Univariate Polynomial Problems: 5. Univariate polynomials; 6. Various tasks with empirical univariate polynomials; Part III. Multivariate Polynomial Problems: 7. One multivariate polynomial; 8. Zero-dimensional systems of multivariate polynomials; 9. Systems of empirical multivariate polynomials; 10. Numerical basis computation; Part IV. Positive-Dimensional Polynomial Systems: 11. Matrix eigenproblems for positive-dimensional systems; Index.
This first book on the numerical analysis of polynomial systems is a stepping stone at the interface of symbolic computation and numerical computation. Bernard Sturmfels, Department of Mathematics, University of Berkeley I am not familiar with any books that do such a careful job of combining numerical analysis with the algebra of polynomial equations. Dr. Stetter's book is unique in this regard. David Cox, Department of Mathematics, Amherst College